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Simplifying 14 + -1w = 6w + -21 Reorder the terms: 14 + -1w = -21 + 6w Solving 14 + -1w = -21 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 14 + -1w + -6w = -21 + 6w + -6w Combine like terms: -1w + -6w = -7w 14 + -7w = -21 + 6w + -6w Combine like terms: 6w + -6w = 0 14 + -7w = -21 + 0 14 + -7w = -21 Add '-14' to each side of the equation. 14 + -14 + -7w = -21 + -14 Combine like terms: 14 + -14 = 0 0 + -7w = -21 + -14 -7w = -21 + -14 Combine like terms: -21 + -14 = -35 -7w = -35 Divide each side by '-7'. w = 5 Simplifying w = 5
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